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Partial differential equations in data science. [PDF]
Philos Trans A Math Phys Eng SciBertozzi AL +3 more
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Learning nonparametric ordinary differential equations from noisy data. [PDF]
J Comput PhysLahouel K +5 more
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Mock Modularity at Work, or Black Holes in a Forest. [PDF]
Entropy (Basel)Alexandrov S.
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A New Type of Euler Polynomials and Numbers
Mediterranean Journal of Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Masjed-Jamei, W Koepf
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A Simple Generalization of Euler Numbers and Polynomials
Journal of the Indian Mathematical Society, 2018In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers.
Hassen, Abdul, Ernst, Christopher R.
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A note on generalized Euler numbers and polynomials
International Journal of Computer Mathematics, 2007In this paper we construct new generalized Euler polynomials and generalized Euler numbers attached to χ. We investigate some of the properties that are related to generalized Euler polynomials. We also derive the existence of a specific interpolation function that interpolates generalized Euler polynomials at negative integers. Finally, we investigate
Cheon Seoung Ryoo +2 more
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Identities for the Bernoulli and Euler numbers and polynomials.
Ars Comb., 2012Summary: In this paper, we investigate some interesting identities on the Euler numbers and polynomials arising from their generating functions and difference operators. Finally, we give some properties of Bernoulli and Euler polynomials by using \(p\)-adic integral on \(\mathbb Z_p\).
Taekyun Kim 0001 +3 more
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An Euler‐genus approach to the calculation of the crosscap‐number polynomial
Journal of Graph Theory, 2017AbstractIn 1994, J. Chen, J. Gross, and R. Rieper demonstrated how to use the rank of Mohar's overlap matrix to calculate the crosscap‐number distribution, that is, the distribution of the embeddings of a graph in the nonorientable surfaces. That has ever since been by far the most frequent way that these distributions have been calculated.
Yichao Chen, Jonathan L. Gross
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Identities on the bernoulli and the euler numbers and polynomials
Ars Comb., 2012International ...
Taekyun Kim 0001 +3 more
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2002
Let \(a,b,c\) be positive numbers. The generalized Bernoulli and Euler numbers are defined via the generating functions \(\frac{t}{b^t-a^t}\) and \(\frac{2c^t}{b^{2t}+a^{2t}}\) respectively, so that the classical sequences are obtained if \(a=1\), \(b=c=e\). A generalization of the Bernoulli and Euler polynomials is introduced in a similar way.
Luo, Qiu-Ming, Qi, Feng
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Let \(a,b,c\) be positive numbers. The generalized Bernoulli and Euler numbers are defined via the generating functions \(\frac{t}{b^t-a^t}\) and \(\frac{2c^t}{b^{2t}+a^{2t}}\) respectively, so that the classical sequences are obtained if \(a=1\), \(b=c=e\). A generalization of the Bernoulli and Euler polynomials is introduced in a similar way.
Luo, Qiu-Ming, Qi, Feng
openaire +1 more source